%I
%S 3,5,7,13,23,29,31,37,47,61,101,127,229,269,431,503,509,997,1021,1319,
%T 2039,3853,4093,7949,8111,8191,14197,16141,16381,32687,45853,65293,
%U 130343,130829,131063,131071,347141,502829,524261,524287,1028893,1046389,1048549
%N Primes of the form 2^j  3^k, for j >= 0, k >= 0.
%C The numbers in A007643 are not in this sequence.
%C For n > 1, a(n) is of the form 8k  1 or 8k  3.
%C In this sequence, only 3 and 7 make both j and k even numbers.
%C Generally, the way to prove that a number is not in this sequence is to successively take residues modulo 3, 8, 5, and 16 on both sides of the equation 2^j  3^k = x.
%F Intersection of A000040 and A192110.
%e 7 = 2^3  3^0, so 7 is a term.
%o (PARI) forprime(p=1,1000,k=0;x=2;y=1;while(k<p+1,while(x<y+p,x=2*x);if(xy==p,print1(p,", ");k=p);k++;y=3*y))
%Y Cf. A000040, A007643, A192110.
%Y Cf. A004051 (primes of the form 2^a + 3^b).
%K nonn
%O 1,1
%A _Jinyuan Wang_, Nov 16 2018
%E More terms from _Alois P. Heinz_, Nov 16 2018
